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55796 = 22132937
BaseRepresentation
bin1101100111110100
32211112112
431213310
53241141
61110152
7321446
oct154764
984475
1055796
1138a14
1228358
131c520
1416496
15117eb
hexd9f4

55796 has 24 divisors (see below), whose sum is σ = 111720. Its totient is φ = 24192.

The previous prime is 55793. The next prime is 55799. The reversal of 55796 is 69755.

It is an interprime number because it is at equal distance from previous prime (55793) and next prime (55799).

It can be written as a sum of positive squares in 4 ways, for example, as 10000 + 45796 = 100^2 + 214^2 .

It is a super-2 number, since 2×557962 = 6226387232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1490 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (4655).

255796 is an apocalyptic number.

It is an amenable number.

55796 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860).

55796 is a wasteful number, since it uses less digits than its factorization.

55796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 81 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 55796 is about 236.2117693935. The cubic root of 55796 is about 38.2121102289.

The spelling of 55796 in words is "fifty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 13 26 29 37 52 58 74 116 148 377 481 754 962 1073 1508 1924 2146 4292 13949 27898 55796